Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462co |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
524160 |
Modular degree for the optimal curve |
Δ |
-45342588404146176 = -1 · 213 · 36 · 112 · 137 |
Discriminant |
Eigenvalues |
2- 3- -3 5 11+ 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,19741,-10194141] |
[a1,a2,a3,a4,a6] |
Generators |
[387:-7630:1] |
Generators of the group modulo torsion |
j |
241804367/12886016 |
j-invariant |
L |
8.2787451870193 |
L(r)(E,1)/r! |
Ω |
0.17189415318277 |
Real period |
R |
0.92618995622634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3718f1 2574p1 |
Quadratic twists by: -3 13 |